Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	241×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(+ x (/ (- x y) 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune36.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* 1.5 x) (* 0.5 y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (* 1.5 x) (* 0.5 y))

simplify104.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	81
1	274	74
2	884	74
3	2126	74
4	5001	74

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.5b	(cbrt (- (* 1.5 x) (* 0.5 y)))
0.6b	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
3.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
11.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

series1.8s

Counts

4 → 12

Calls

4 calls:

457.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
458.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
457.0ms	(cbrt (- (* 1.5 x) (* 0.5 y)))
430.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	268	1043
1	835	978
2	2859	916
3	5002	900

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
0.5b	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
0.5b	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
0.6b	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 96

Calls

4 calls:

4.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
4.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
4.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
11.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

series2.0s

Counts

4 → 12

Calls

4 calls:

455.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
450.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
626.0ms	(cbrt (cbrt (- (* 1.5 x) (* 0.5 y))))
430.0ms	(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))

simplify84.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	287	1211
1	859	1140
2	2775	1075
3	5001	1056

prune304.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample304.0ms

Algorithm

intervals

Results

137.0ms	7380×	body	80	valid
18.0ms	237×	body	1280	valid
10.0ms	156×	body	640	valid
8.0ms	89×	body	2560	valid
4.0ms	94×	body	320	valid
2.0ms	47×	body	160	valid